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vagabundo [1.1K]
2 years ago
14

The variables x and y have a proportional relationship, and y= 5/6 which equation represents this relationship? x= 3/4. Which eq

uation represents this relationship?
Mathematics
1 answer:
Novosadov [1.4K]2 years ago
3 0

Answer:

(d)  y= (1 1/9)x

Step-by-step explanation:

A proportional relation is described by the equation ...

 y = kx

Dividing by x shows how to find the value of k:

 k = y/x

For the given values of y and x, the value of k is found to be ...

 k = (5/6)/(3/4) = (5/6)(4/3) = 20/18 = 10/9 = 1 1/9

The relationship is represented by the equation ...

 y = (1 1/9)

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X^2-18x+67=0 Solve the quadratic equation by completing the square.
Assoli18 [71]

Answer:

x = 9 ± √14

Step-by-step explanation:

x² − 18x + 67 = 0

Move the constant to the other side:

x² − 18x = -67

Take half of -18, square it, and add to both sides.

(-18/2)² = (-9)² = 81

x² − 18x + 81 = -67 + 81

x² − 18x + 81 = 14

Factor the perfect square:

(x − 9)² = 14

Solve for x:

x − 9 = ±√14

x = 9 ± √14

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3 years ago
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